| 广义(2+1)维Boussinesq方程的新的椭圆函数有理形式解 |
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| 引用本文： | 肖亚峰,薛海丽. 广义(2+1)维Boussinesq方程的新的椭圆函数有理形式解[J]. 兰州理工大学学报, 2012, 38(2): 136-141 |
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| 作者姓名： | 肖亚峰 薛海丽 |
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| 作者单位： | 1. 中北大学 数学系,山西太原,030051
2. 中北大学软件学院,山西太原,030051 |
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| 基金项目： | 国家重点基础研究专项基金，国家自然科学基金青年基金 |
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| 摘 要： | 基于符号计算软件Maple和椭圆方程,提出构造非线性发展方程有理形式解的改进的椭圆方程展开法,该方法可有效地构造出更多新的椭圆函数形式解.利用该方法研究广义(2+1)维Boussinesq方程并获得该方程的一系列新的精确解.
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| 关 键 词： | 孤立子 改进的椭圆方程展开法 广义(2+1)维Boussinesq方程 非线性发展方程 |
New elliptic function solution to generalized (2+1)-dimensional Boussinesq equation in rational form |
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| XIAO Ya-feng , XUE Hai-li. New elliptic function solution to generalized (2+1)-dimensional Boussinesq equation in rational form[J]. Journal of Lanzhou University of Technology, 2012, 38(2): 136-141 |
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| Authors: | XIAO Ya-feng XUE Hai-li |
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| Affiliation: | 1.Department of Mathematics,North University of China,Taiyuan 030051,China;2.Software School,North University of China,Taiyuan 030051,China) |
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| Abstract: | Based on the computerized symbolic system Maple and elliptic equation,an improved expansion method of elliptic equation was presented for constructing a rational solution to nonlinear evolution equation.The proposed method was more effective to construct new and more elliptic function solutions for some NEEs.Making use of this method,the generalized(2+1)-dimensional Boussinesq equation was studied and a series of new exact solutions to this equation were obtained. |
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| Keywords: | soliton improved expansion method of elliptic equation generalized(2+1)-dimensional Boussinesq equation nonlinear evolution equation |
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